Primitive spherical systems
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Abstract:
A spherical system is a combinatorial object, arising in the theory of wonderful varieties, defined in terms of a root system. All spherical systems can be obtained by means of some general combinatorial procedures (such as parabolic induction and wonderful fiber product) from the so-called primitive spherical systems. Here we classify the primitive spherical systems. As an application, we prove that the quotients of a spherical system are in correspondence with the so-called distinguished subsets of colors.References
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Additional Information
- P. Bravi
- Affiliation: Dipartimento di Matematica, Università La Sapienza, P.le A. Moro 5, 00185 Roma, Italy
- MR Author ID: 683748
- Email: bravi@mat.uniroma1.it
- Received by editor(s): July 19, 2010
- Received by editor(s) in revised form: January 21, 2011, and April 4, 2011
- Published electronically: August 10, 2012
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 361-407
- MSC (2010): Primary 14M27; Secondary 05E10, 05E15
- DOI: https://doi.org/10.1090/S0002-9947-2012-05621-2
- MathSciNet review: 2984062